428946210 has 288 divisors, whose sum is σ = 1487880576. Its totient is φ = 83635200.

The previous prime is 428946187. The next prime is 428946229. The reversal of 428946210 is 12649824.

428946210 is a `hidden beast` number, since 4 + 28 + 9 + 4 + 621 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1295745 + ... + 1296075.

It is an arithmetic number, because the mean of its divisors is an integer number (5166252).

Almost surely, 2^428946210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428946210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743940288).

428946210 is an abundant number, since it is smaller than the sum of its proper divisors (1058934366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428946210 is a wasteful number, since it uses less digits than its factorization.

428946210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428946210 is about 20711.0166336662. The cubic root of 428946210 is about 754.1671502630.

The spelling of 428946210 in words is "four hundred twenty-eight million, nine hundred forty-six thousand, two hundred ten".